Search a number
-
+
78447780 = 22325974493
BaseRepresentation
bin1001010110100…
…00010010100100
312110121120010100
410223100102210
5130040312110
611441224100
71641536505
oct453202244
9173546110
1078447780
1140310a84
1222332030
1313338a08
14a5c0bac
156d48bc0
hex4ad04a4

78447780 has 72 divisors (see below), whose sum is σ = 240464952. Its totient is φ = 20699136.

The previous prime is 78447767. The next prime is 78447797. The reversal of 78447780 is 8774487.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 49028004 = 5424^2 + 7002^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15214 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (3339791).

Almost surely, 278447780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78447780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120232476).

78447780 is an abundant number, since it is smaller than the sum of its proper divisors (162017172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78447780 is a wasteful number, since it uses less digits than its factorization.

78447780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 78447780 is about 8857.0751379900. The cubic root of 78447780 is about 428.0819201507.

The spelling of 78447780 in words is "seventy-eight million, four hundred forty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 4493 5820 8730 8986 13479 17460 17972 22465 26958 40437 44930 53916 67395 80874 89860 134790 161748 202185 269580 404370 435821 808740 871642 1307463 1743284 2179105 2614926 3922389 4358210 5229852 6537315 7844778 8716420 13074630 15689556 19611945 26149260 39223890 78447780